1,284 research outputs found
Matrix-valued Quantum Lattice Boltzmann Method
We devise a lattice Boltzmann method (LBM) for a matrix-valued quantum
Boltzmann equation, with the classical Maxwell distribution replaced by
Fermi-Dirac functions. To accommodate the spin density matrix, the distribution
functions become 2 x 2 matrix-valued. From an analytic perspective, the
efficient, commonly used BGK approximation of the collision operator is valid
in the present setting. The numerical scheme could leverage the principles of
LBM for simulating complex spin systems, with applications to spintronics.Comment: 18 page
Recognition of conspecific odours by laboratory rats (Rattus norvegicus) does not show context specificity.
Recognition of conspecific odours by laboratory rats (Rattus norvegicus) does not show context specificity
The FermiFab Toolbox for Fermionic Many-Particle Quantum Systems
This paper introduces the FermiFab toolbox for many-particle quantum systems.
It is mainly concerned with the representation of (symbolic) fermionic
wavefunctions and the calculation of corresponding reduced density matrices
(RDMs). The toolbox transparently handles the inherent antisymmetrization of
wavefunctions and incorporates the creation/annihilation formalism. Thus, it
aims at providing a solid base for a broad audience to use fermionic
wavefunctions with the same ease as matrices in Matlab, say. Leveraging
symbolic computation, the toolbox can greatly simply tedious pen-and-paper
calculations for concrete quantum mechanical systems, and serves as "sandbox"
for theoretical hypothesis testing. FermiFab (including full source code) is
freely available as a plugin for both Matlab and Mathematica.Comment: 17 pages, 5 figure
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